1010010120984 has 96 divisors (see below), whose sum is σ = 2755779624000. Its totient is φ = 334170455040.

The previous prime is 1010010120941. The next prime is 1010010121007. The reversal of 1010010120984 is 4890210100101.

It is a super-2 number, since 2×1010010120984² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15232864 + ... + 15299024.

It is an arithmetic number, because the mean of its divisors is an integer number (28706037750).

Almost surely, 2^{1010010120984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010010120984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377889812000).

1010010120984 is an abundant number, since it is smaller than the sum of its proper divisors (1745769503016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010010120984 is a wasteful number, since it uses less digits than its factorization.

1010010120984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67745 (or 67738 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 1010010120984 in words is "one trillion, ten billion, ten million, one hundred twenty thousand, nine hundred eighty-four".